Representation Theorems of R-trees and Brownian motions indexed by R-trees

Start: 05/02/2016 - 4:15pm
End  : 05/02/2016 - 5:15pm

Applied Math Seminar

Qidi Peng (CGU)


Authors: Asuman Aksoy, Monairah Al-ansari and Qidi Peng Abstract: We provide a new representation of R-tree by using a special set of metric rays. We have captured the four-point condition from these metric rays and shown an equivalence between these sets of metric rays, and the R-trees with radial and river metrics. In stochastic analysis, these graphical representation theorems are of particular interest in identifying Brownian motions indexed by R-trees.

Emmy Noether Room Millikan 1021 Pomona College